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Finding the Fourth Proportional to 8,163.75, 11,261.52 and 5,174.46

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Solution

The fourth proportional to 8,163.75, 11,261.52 and 5,174.46 is: 7,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.75 : 11,261.52 = 5,174.46 : x
  2. Step 2: Convert to fraction form
    8,163.75/11,261.52 = 5,174.46/x
  3. Step 3: Cross multiply
    8,163.75x = 11,261.52 × 5,174.46
  4. Step 4: Simplify right side
    8,163.75x = 58,272,284.78
  5. Step 5: Solve for x
    x = 58,272,284.78/8,163.75
  6. Step 6: Final answer
    x = 7,137.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.